How many years has January 4th fallen on a Wednesday?

It is not practical to go back to the beginning to time, so if we take just from the start of the 20th century to now, it has happened 16 times, in 1905, 1911, 1922, 1928, 1933, 1939, 1950, 1956, 1961, 1967, 1978, 1984, 1989, 1995, 2006 and 2012.